Fig. 1: Matrix representation of DMI types.
From: Reducing crystal symmetry to generate out-of-plane Dzyaloshinskii–Moriya interaction
a Mathematical matrix and cartoon pattern representation of the DMI, with DMI vector configurations of all \({({{{{\rm{D}}}}}_{{mn}})}_{1\le m\le {{\mathrm{3,1}}}\le n\le 3}\) elements. b Major DMI types highlighted by various colourized DMI elements, and their favoured spin textures. The solid/striped areas represent the DMI vector with the same/different DMI strength. The area with the negative sign means that the sign of the DMI vector is opposite to the one with the same colour. c The DMI cartoon patterns corresponding to all non-centrosymmetric point groups (except C1) are shown. The definition of colours is the same as in panel b.
